Answer:
(a) 13.85 °C
Step-by-step explanation:
The temperature difference is a decaying exponential function of time. Here, it decreases from an initial difference of 15 °C to 10 °C after 25 minutes. So, that temperature difference can be modeled as ...
ΔT = 15(10/15)^(t/25)
We want to find the value of this at t=55. It is ...
ΔT = 15(2/3)^(55/25) ≈ 6.15
This is the amount the temperature of the drink is below room temperature.
drink temperature = (20 - 6.15) °C = 13.85 °C
The temperature of the drink after 55 minutes is about 13.85 °C.
Answer:
Yes they do!
Step-by-step explanation:
Both fractions simplify into approximately 0.68
Hope this helps!
Answer:
0.98
Step-by-step explanation:
The investment starts at $10,000.
$10,000 is 100% of the investment.
In the first year, it loses 2% of its value. That means that after 1 year, the value of 100% of $10,000 is decreased by 2% of $10,000.
100% - 2% = 98%
After the first year, the investment is worth 98% of the original value.
98% as a decimal is 0.98
Answer: 0.98
Answer:
427
Step-by-step explanation:
Hello,
x²+2*3x+3²+7-9=0
==>(x+3)²-2=0
==>(x+3-√2)(x+3+√2)=0
==> x=-3+√2 or x=-3-√2
